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141794254368 = 253213413372741
BaseRepresentation
bin1000010000001110011…
…0001001111000100000
3111112222212220110000200
42010003212021320200
54310343312114433
6145050034545200
713146536163414
oct2040346117040
9445885813020
10141794254368
1155153183a98
1223592738200
13104a951ca80
146c11a4ad44
153a4d4e2613
hex2103989e20

141794254368 has 288 divisors, whose sum is σ = 446319003312. Its totient is φ = 42423091200.

The previous prime is 141794254339. The next prime is 141794254387. The reversal of 141794254368 is 863452497141.

141794254368 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 94 + 2 + 543 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 980190864 + 140814063504 = 31308^2 + 375252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1417942543682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51729478 + ... + 51732218.

Almost surely, 2141794254368 is an apocalyptic number.

141794254368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141794254368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223159501656).

141794254368 is an abundant number, since it is smaller than the sum of its proper divisors (304524748944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141794254368 is a wasteful number, since it uses less digits than its factorization.

141794254368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3137 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 141794254368 in words is "one hundred forty-one billion, seven hundred ninety-four million, two hundred fifty-four thousand, three hundred sixty-eight".